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Finding the Fourth Proportional to 4,941.96, 7,406.64 and 2,016.96

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Solution

The fourth proportional to 4,941.96, 7,406.64 and 2,016.96 is: 3,022.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.96 : 7,406.64 = 2,016.96 : x
  2. Step 2: Convert to fraction form
    4,941.96/7,406.64 = 2,016.96/x
  3. Step 3: Cross multiply
    4,941.96x = 7,406.64 × 2,016.96
  4. Step 4: Simplify right side
    4,941.96x = 14,938,896.61
  5. Step 5: Solve for x
    x = 14,938,896.61/4,941.96
  6. Step 6: Final answer
    x = 3,022.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.